Exponential & Logarithmic Functions

Exponential & Logarithmic Functions
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52.69 MB   |   57 pages

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29 day full lessons includes lesson plans, worksheets, activities, smart notebook files, ppt, assessments, and answer key

The student will be able to:

Exponential Functions:

Identify the graph of f(x)=bx.
Sketch the graph of f(x)=bx.
Make connections between the graph, table, and equations of exponential functions.
Identify and analyze attributes of exponential functions, including
Domain and range
Intercepts
Asymptotes (write the equation)
Describe attributes as seen in various representations:
graph
table
equations
Logarithmic Functions:

Identify the graph of f(x)=logb(x), where b is 2, 10, and e.
Sketch the graph of f(x)=logb(x), where b is 2, 10, and e
Make connections between the graph, table, and equations for logarithmic functions.
Identify and analyze attributes of logarithmic functions, including
Domain and range
Intercepts
Asymptotes (write the equation)
Describe attributes as seen in various representations:
graph
table
equations
Graph a function and its inverse, describing the inverse using the notation f-1(x).
Graph a function and its inverse.
By hand using table or reflection about y = x
On calculator (using y1 and y2 or using L1 and L2)
Write the inverse function algebraically
Interchange x and y, then solve for y
Use notation such as f-1(x).
Identify that exponential and logarithmic functions are inverses.
Define the inverse of as a logarithmic function .
Compare the domain, range, and asymptotes of to .
Connect exponential notation and logarithmic notation.
Rewrite exponential equations to explore the relationship between an exponential function and its inverse (logarithmic function).
Write an exponential equation from a given situation, such as bacterial growth and decay, population growth and decay, and finances.
Determine the independent and dependent variables of the situation.
Include recursive notation.
Write exponential equations in logarithmic form and vice versa.
Identify domain and range of exponential or logarithmic functions from:
graph
verbal situation
table
equation
Express limitations on the domain and range of an exponential or logarithmic function.
Compare the domain and range of an exponential or logarithmic function and the domain and range of a situation that can be modeled by the same function.
Express domain and range of an exponential or logarithmic function using different forms.
Example: for x ≥ 0, write as:
Informal set notation {x ≥ 0}
Interval notation [0 , ∞)
Set-builder notation, {x | x ≥ 0}
Determine reasonable domain and range values from a given situation.
Continuous data
Discrete data
From multiple representations
Total Pages
57
Answer Key
Included
Teaching Duration
1 Month

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Exponential & Logarithmic Functions